Question

What is the slope of a line perpendicular to y=-7/4x? a. -4/7 b. 7/4 c. -7/4 d. 4/7

Answer 1

That would be D. 4/7

Answer 2

d.
`(4)/(7)`

Explanation:

Let m be slope of perpendicular line.

We are asked to find the slope of line that perpendicular to line
`y=-(7)/(4)x`.

We know that slope of perpendicular line to a given line is negative reciprocal of slope of the given line.

This means that product of both slopes equal -1.

`m*-(7)/(4)=-1`

`m*-(7)/(4)*-(4)/(7)=-1*-(4)/(7)`

`m=(4)/(7)`

Therefore, the slope of perpendicular line is
`(4)/(7)`.